Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166t |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
283584 |
Modular degree for the optimal curve |
Δ |
-11266242831116 = -1 · 22 · 710 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 6 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20859,1175927] |
[a1,a2,a3,a4,a6] |
Generators |
[111:412:1] |
Generators of the group modulo torsion |
j |
-3553073937/39884 |
j-invariant |
L |
8.2256824114086 |
L(r)(E,1)/r! |
Ω |
0.72065464686352 |
Real period |
R |
2.8535451924987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166k1 |
Quadratic twists by: -7 |